Calculus
posted by Mike .
a swimming pool has the shape of the ellipse given by
(x^2)/3600 + (y^2)/1600 = 1
The cross sections perpendicular to the ground and parallel to the yaxis are squares. Find the total volume of the pool.
Respond to this Question
Similar Questions

Calculus
R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the … 
Calculus
R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the … 
Calculus
R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1. (a) Set up and evaluate an integral that gives the area of R. (b) A solid has base R and the crosssections of the solid perpendicular to the … 
algebra 2
A swimming pool in the shape of an ellipse is modeled by x^2/324+y^2/196=1, where x and y are measured in feet. Find the shortest distance (in feet) across the center of the pool? 
Calculus
Let R be the region bounded by y=6sin((pi/2)x), y=6(x2)^2, y=3x+3 containing the point (2,6). Find the area of R, find the volume of R rotated about the xaxis, find the volume of R rotated about the yaxis, and Suppose R is the base … 
calculus
The region A is bounded by the curve y=x^25x+6 and the line y = x + 3. (a) Sketch the line and the curve on the same set of axes. (b) Find the area of A. (c) The part of A above the xaxis is rotated through 360degree about the xaxis. … 
calculus
As viewed from above, a swimming pool has the shape of the ellipse given by (x^2/3600)+(y^2/1600)= 1 The cross sections perpendicular to the ground and parallel to the yaxis are squares. Find the total volume of the pool. 
calculus
#3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1. Find the volume if every cross section perpendicular to the xaxis is an isosceles triangle whose altitude is 6 inches. #4 Use the same base and cross sections … 
calc
The base of a threedimensional figure is bound by the line y = 6  2x on the interval [1, 2]. Vertical cross sections that are perpendicular to the xaxis are rectangles with height equal to 2. Find the volume of the figure. The … 
Calculus
Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. The region R is the base of a solid. For this solid, the cross sections, …